In 2020 she finished third in the Victoria Mile and won the Sapporo Kinen before claiming the Hong Kong Cup at Sha Tin Racecourse on her final run of the season.

She was from the fourth crop of foals sired by Harbinger, a British horse who was rated the best racehorse in the world in 2010 when he won the King George VI and Queen Elizabeth Stakes by eleven lengths.

Since retiring to stud in Japan his other foals have included Deirdre, Blast Onepiece, Mozu Katchan (Queen Elizabeth II Cup) and Persian Knight (Mile Championship).

[7] For her first run as a three-year-old, Normcore was stepped up in class to contest the Grade 3 Flower Cup at Nakayama in March and ran third behind Cantabile and Tosen Bless, beaten two and a quarter lengths by the winner.

She was not in contention early in the race and was still only twelfth of the eighteen runners on the final turn, but she produced a sustained run on the outside to take the lead in the closing stages and won by half a length from Leyenda.

[12] For her final run of the season the filly was sent to contest the Hong Kong Mile at Sha Tin Racecourse in December in which she came home fourth behind Admire Mars, Waikuku and Beauty Generation, beaten two lengths by the winner after keeping on well in the straight.

On her first run of 2020 Normcore was dropped back to sprint distances for the Grade 1 Takamatsunomiya Kinen over 1200 metres at Chukyo in March but made little impact and finished unplaced behind Mozu Superflare.

[13] In the Yasuda Kinen over 1600 metres in June she went off at odds of 49/1 but produced a creditable performance to take fourth place behind Gran Alegria, Almond Eye and Indy Champ after being thirteenth of the fourteen runners on the final turn.

With Yokoyama again in the saddle she settled towards the rear of the field before making a forward move approaching the final turn, ran down Lucky Lilac in the straight and held off the late challenge of Persian Knight to win by a length.

[17] Magical started favourite, while the other six runners were Danon Premium, Win Bright, Furore (Jockey Club Cup), Skalleti (Prix Dollar), Time Warp (winner of the race in 2017) and Dances with Dragon (Premier Plate).

After settling towards the rear of the field, Normcore made a sustained run on the outside in the straight, gained the advantage in the final strides and won "quite comfortably" by three quarters of a length from Win Bright, with Magical a short head away in third place.